HOMOTOPY METHOD FOR INVERSING TWO PARAMETERS OF 2-D WAVE EQUATION IN POROUS MEDIA

The homotopy method is used to inverse material parameters of porous media. According to that the computed response should fit to the measured one, the parameter inversion problem of porous media is reduced to a problem of nonlinear operator equations zero in this paper. The homotopy method with large scope convergence is used to find the solution of inversion problem. The homotopy method is used to inverse the parameters of 2-D wave equations in porous media which has an analytical solution given by Paul in 1976. Numerical simulations indicate that the homotopy method is effective and robust.